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Let X denote the number of heads obtained when a fair coin is tossed 4 times.
(a) What is E(X) and Var(X)?
(b) Repeat 10 times the experiment of tossing a fair coin 4 times and recording the number of heads obtained. You thus obtain a random sample of size 10 from a binomial distribution with 4 trials and p = 1/2. Write down the ten numbers.
(c) Based on your ten observations, estimate the mean and variance of X. Are your estimates close to the theoretical values in part (a)?
If 10% of the parts produced from a manufacturing process are defective, what is the probability that there are 15 or more defectives in a random sample of 100 items?
a contractor wishes to build 9 houses each different in design. in how many ways can he place these houses on a street
In a non instanteneous receipt model, daily demand is 55 units and daily production is 120 units, Co=$70 and Cc=$4 per unit per year. What is the maximum inventory level?
Develop hypotheses so that rejection of the null hypothesis will allow us to conclude that the most recent bullish sentiment is weaker than that of one month ago.
a carpet outlet advertises a price of 470.40 to carpet a 12-foot by 16-foot room. if a customer was given a price of
Jill wants to do her MBA in Statistics at a B.C. university. She applies to two universities that offer post-graduate degrees in Statistics.
You work at a hospital that has always had about 100 emloyees staffed at night. You think that the number of employees staffed at night has recently decreased and would like to test this claim.
Do these results suggest that the racial makeup of the faculty members is different from that of the students? (Use the .05 significance level.)
Leasing agents from the Triangle Mall Management Corporation have suggested that Sunflowers Apparel considered several locations in some of Triangles newly renovated lifestyle malls that cater to shoppers with higher than mean disposable income.
Suppose the population standard deviation is unknown. If 71% of all sample means are greater than 49 hours and the population mean is still 50.4 hours, what is the value of the population standard deviation?
If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1,000 people from the same population found that 550 were pro-life (i.e., 55%), which would you find more significant?
There are assumptions of multiple regression. One of them is: the residuals are independent. This means that successive observations of the dependent variable are not correlated.
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